大型船用鼓形齿联轴器位移圆半径设计

The problem that traditional design formulas for displacement circle radius cannot be applied to the huge-scale marine crown gear coupling with large size, heavy load and variable shaft angle is considered. Relationship formulas of the optimum displacement circle radius with structural parameters and working condition parameters are established by a finite element analysis and response surface methodology. Firstly, based on meshing theory and coordinate transformation a high-precision finite element mesh model and an assembly model of crown gear coupling are established. Secondly, a design criterion of the optimal displacement circle radius is determined by considering the two boundary conditions of 0°and maximum shaft angles and combining contact stress, bending stress and contact position obtained from an example of a marine crown gear coupling. Then, relationship formulas of the optimum displacement circle radius with torque, teeth number, modulus, tooth width and maximum shaft angle are fitted out based on Latin hypercube sampling method and response surface methodology. Finally, the optimum displacement circle radius values are calculated by a finite element method for a group of large shaft angles and a group of small shaft angles, and compared with those obtained by the response surface model. The results show that displacement circle radius reaches the optimal value when contact position is 0.2 times of the width of the tooth; The optimum displacement circle radius of huge-scale marine crown gear coupling is affected by the following factors in turn:maximum shaft angle, structure size, and load torque; It is concluded that the response surface model is effective and can be used to design the displacement circle radius of huge-scale marine crown gear coupling.